Brandon Hagel made it 4-0 at 4:01 of the second after Alex Barre-Boulet found him alone in the slot.
"We're a group that needs to come together right now,” Sharks defenseman Jan Rutta said. “There's too much second-guessing, and it translates to our game. We have a lot of new guys. We're trying to build chemistry."
Nicholas Paul pushed the lead to 5-0 at 7:29 when he lifted a shot over Blackwood in front off a feed from Stamkos. Blackwood was then pulled.
Luke Glendening scored his first goal of the season at 5:44 of the third period for the 6-0 final.
"Not good, not good at all," Ferraro said. "We weren't hard enough to play against. Too much time and space for them. We're not happy about that one. There's nothing positive to take. It's the NHL, no one's going to do us any favors. We've got a big game tomorrow (at the Hurricanes), a big bounce back, but tonight was not good enough, there's no excuse."
NOTES: The Sharks are the 10th NHL team since the introduction of the center red line in 1943-44 to score eight goals or fewer in their first seven games. ... San Jose defenseman Matt Benning had five hits and four blocked shots in 20:20 of ice time. ... Sharks forward Tomas Hertl had four shots on goal and was 15-for-22 on face-offs in 19:27. ... Stamkos scored his 196th power-play goal, passing Brett Hull (St. Louis Blues) for the seventh-most for one franchise. … Glendening got his first point with Tampa Bay. The forward signed a two-year, $1.6 million contract ($800,000 average annual value) with the Lightning on July 1.